{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 10\n",
    "# 用Matplotlib绘制正弦、余弦线图\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import os\n",
    "\n",
    "if not os.path.isdir('figures'):\n",
    "    os.mkdir('figures')\n",
    "\n",
    "# 生成横轴数据\n",
    "x_array = np.linspace(0, 2 * np.pi, 100)\n",
    "# 正弦函数数据\n",
    "sin_y = np.sin(x_array)\n",
    "# 余弦函数数据\n",
    "cos_y = np.cos(x_array)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-11T09:58:33.244954Z",
     "end_time": "2024-07-11T09:58:33.249828Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 800x600 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 设置图片大小\n",
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "\n",
    "# 绘制正弦和余弦曲线\n",
    "ax.plot(x_array, sin_y, label='sin', color='b', linewidth=2)\n",
    "ax.plot(x_array, cos_y, label='cos', color='r', linewidth=2)\n",
    "\n",
    "# 设置标题、横轴和纵轴标签\n",
    "ax.set_title('Sine and cosine functions')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('f(x)')\n",
    "\n",
    "# 添加图例\n",
    "ax.legend()\n",
    "\n",
    "# 设置横轴和纵轴范围\n",
    "ax.set_xlim(0, 2 * np.pi)\n",
    "ax.set_ylim(-1.5, 1.5)\n",
    "\n",
    "# 设置横轴标签和刻度标签\n",
    "x_ticks = np.arange(0, 2 * np.pi + np.pi / 2, np.pi / 2)\n",
    "x_ticklabels = [r'$0$', r'$\\frac{\\pi}{2}$', r'$\\pi$',\n",
    "                r'$\\frac{3\\pi}{2}$', r'$2\\pi$']\n",
    "ax.set_xticks(x_ticks)\n",
    "ax.set_xticklabels(x_ticklabels)\n",
    "\n",
    "# 横纵轴采用相同的scale\n",
    "ax.set_aspect('equal')\n",
    "plt.grid()\n",
    "# 将图片存成SVG格式\n",
    "plt.savefig('figures/正弦_余弦函数曲线.svg', format='svg')\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-11T09:58:33.250829Z",
     "end_time": "2024-07-11T09:58:33.610044Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
